Introduction of the concepts of hole and effective mass using an alternative to the E-k diagram

An alternative to the E-k diagram is proposed as a mean of teaching the concept of hole to undergraduate students who have never studied Quantum Mechanics. Some background on the application of Quantum Mechanics to crystalline solids is given in order to discuss the concept of effective mass and the concept of hole. Then, the so-called |p| - ν diagram is geometrically derived from the E-k diagram, using their critical points as a reference. Finally, the new diagram is used as part of a full explanation of the concept of hole and conclusions are given.

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Main Author: Alvarez,Lydia
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2013
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422013000200005
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spelling oai:scielo:S1870-354220130002000052014-03-10Introduction of the concepts of hole and effective mass using an alternative to the E-k diagramAlvarez,Lydia Hole effective mass E-k diagram An alternative to the E-k diagram is proposed as a mean of teaching the concept of hole to undergraduate students who have never studied Quantum Mechanics. Some background on the application of Quantum Mechanics to crystalline solids is given in order to discuss the concept of effective mass and the concept of hole. Then, the so-called |p| - ν diagram is geometrically derived from the E-k diagram, using their critical points as a reference. Finally, the new diagram is used as part of a full explanation of the concept of hole and conclusions are given.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física E v.59 n.2 20132013-12-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422013000200005en
institution SCIELO
collection OJS
country México
countrycode MX
component Revista
access En linea
databasecode rev-scielo-mx
tag revista
region America del Norte
libraryname SciELO
language English
format Digital
author Alvarez,Lydia
spellingShingle Alvarez,Lydia
Introduction of the concepts of hole and effective mass using an alternative to the E-k diagram
author_facet Alvarez,Lydia
author_sort Alvarez,Lydia
title Introduction of the concepts of hole and effective mass using an alternative to the E-k diagram
title_short Introduction of the concepts of hole and effective mass using an alternative to the E-k diagram
title_full Introduction of the concepts of hole and effective mass using an alternative to the E-k diagram
title_fullStr Introduction of the concepts of hole and effective mass using an alternative to the E-k diagram
title_full_unstemmed Introduction of the concepts of hole and effective mass using an alternative to the E-k diagram
title_sort introduction of the concepts of hole and effective mass using an alternative to the e-k diagram
description An alternative to the E-k diagram is proposed as a mean of teaching the concept of hole to undergraduate students who have never studied Quantum Mechanics. Some background on the application of Quantum Mechanics to crystalline solids is given in order to discuss the concept of effective mass and the concept of hole. Then, the so-called |p| - ν diagram is geometrically derived from the E-k diagram, using their critical points as a reference. Finally, the new diagram is used as part of a full explanation of the concept of hole and conclusions are given.
publisher Sociedad Mexicana de Física
publishDate 2013
url http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422013000200005
work_keys_str_mv AT alvarezlydia introductionoftheconceptsofholeandeffectivemassusinganalternativetotheekdiagram
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